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Finding the Fourth Proportional to 23,197, 34,801.28 and 6,781

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Solution

The fourth proportional to 23,197, 34,801.28 and 6,781 is: 10,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197 : 34,801.28 = 6,781 : x
  2. Step 2: Convert to fraction form
    23,197/34,801.28 = 6,781/x
  3. Step 3: Cross multiply
    23,197x = 34,801.28 × 6,781
  4. Step 4: Simplify right side
    23,197x = 235,987,479.68
  5. Step 5: Solve for x
    x = 235,987,479.68/23,197
  6. Step 6: Final answer
    x = 10,173.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.